679574016 has 320 divisors, whose sum is σ = 2268604800. Its totient is φ = 199065600.

The previous prime is 679573981. The next prime is 679574039. The reversal of 679574016 is 610475976.

It is a happy number.

679574016 is a `hidden beast` number, since 6 + 79 + 574 + 0 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6234570 + ... + 6234678.

It is an arithmetic number, because the mean of its divisors is an integer number (7089390).

Almost surely, 2^679574016 is an apocalyptic number.

679574016 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679574016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134302400).

679574016 is an abundant number, since it is smaller than the sum of its proper divisors (1589030784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

679574016 is a wasteful number, since it uses less digits than its factorization.

679574016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 679574016 is about 26068.6404708799. The cubic root of 679574016 is about 879.1822706733.

The spelling of 679574016 in words is "six hundred seventy-nine million, five hundred seventy-four thousand, sixteen".